An improved algorithm for frequency weighted balanced truncation

In this paper, a new frequency weighted balanced truncation based on Lin and Chiu´s technique [1] is presented. The method proposed is a modification to Sreeram and Sahlan´s technique [2] by using the relationship between the intermediate reduced order model and the final reduced order model. A numerical example and comparison with other well-known techniques shows that a significant approximation error reduction can be achieved using this improvement.